Bibliographic Details
| Title: |
ON CERTAIN CLASSES OF CONFORMALLY FLAT LORENTZIAN PARA-KENMOTSU MANIFOLDS. |
| Authors: |
PRASAD, K. L. SAI1 klsprasad@yahoo.com, NAVEEN, P.2 potnuru123@gmail.com, DEVI, S. SUNITHA3 sunithamallakula@yahoo.com |
| Source: |
Reliability: Theory & Applications. Jun2024, Vol. 19 Issue 2, p446-453. 8p. |
| Subjects: |
Lorentzian function, Manifolds (Mathematics) |
| Abstract: |
n this present paper, we classify and explore the geometrical significance of a class of Lorentzian almost paracontact metric manifolds namely Lorentzian para-Kenmotsu (briefly LP-Kenmotsu) mani- folds whenever the manifolds are either conformally flat or conformally symmetric. It was found that a conformally flat LP-Kenmotsu manifold is of constant curvature and a conformally symmetric LP-Kenmotsu manifold is locally isomorphic to a unit sphere. At the end, we obtain the scalar curvature of φ-conformally flat LP-Kenmotsu manifolds [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
